Do Project 2 for a function and its Taylor series expansion. Do not use e^x or sin(x). Refer to a calculus text for such an expansion.

Project 2

Using a computational tool, evaluate e x for a given value of x using the series expansion in the section "Truncation Error" and enough terms so that successive approximations differ by no more than 1 hundred-thousandth. Show all steps of the developing expansion on separate rows. Also, evaluate e x using the built-in exponential function.